How to Find GCF of 3961/962, 8230/9796?

GCF of 3961/962, 8230/9796

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3961/962, 8230/9796 i.e 1/4711876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3961/962, 8230/9796.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3961/962,8230/9796?

Given fractions are 3961/962,8230/9796

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3961/962,8230/9796, numerators are 3961,8230

Denominators are 962,9796

The GCF of 3961,8230 is 1 .

LCM of 962,9796 is 4711876.

The greatest common factor of 3961/962,8230/9796 = [GCF of 3961,8230]/[LCM of 962,9796]= 1/4711876

Therefore, the GCF of 3961/962,8230/9796 is 1/4711876.

Greatest Common Factor of 3961,8230

To find the highest common factor of 3961,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 3961 are 1, 17, 233, 3961

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 3961,8230 is 1.

Lets's calculate GCF of 3961,8230

Greatest Common Factor (GCF) of 3961,8230 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3961,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 3961

1,17,233,3961

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 3961,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 3961,8230 is 1.

Lets's calculate LCM of 962,9796

Lowest Common Multiple of 962,9796 using Common Division

2	962, 9796
	481, 4898

∴ So the LCM of the given numbers is 2 x 481 x 4898 = 4711876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4711876

Therefore, the GCF of Fractions 3961/962,8230/9796 is 1/4711876

Least Common Multiple of 962,9796 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 962,9796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,9796) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(962,9796) x common factors =2 x 1 = 2

LCM(962,9796) = ( 962 × 9796 ) / 2

LCM(962,9796) = 9423752 / 2

LCM(962,9796) = 4711876

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FAQs on GCF of Fractions of 3961/962, 8230/9796

1. What is the HCF of 3961,8230?

The HCF of 3961,8230 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3961/962, 8230/9796?

Answer: GCF of Numerators as per given numbers 3961/962, 8230/9796 is

GCF of Numerators i.e. for 3961,8230 is 1

LCM of denominators i.e. for 962,9796 is 4711876.

Thus, GCF of Fractions is 1/4711876.Finally, GCF of Fractions for 3961/962, 8230/9796 is 1/4711876.